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Finding the Fourth Proportional to 106,293.48, 159,330.84 and 47,157

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Solution

The fourth proportional to 106,293.48, 159,330.84 and 47,157 is: 70,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,293.48 : 159,330.84 = 47,157 : x
  2. Step 2: Convert to fraction form
    106,293.48/159,330.84 = 47,157/x
  3. Step 3: Cross multiply
    106,293.48x = 159,330.84 × 47,157
  4. Step 4: Simplify right side
    106,293.48x = 7,513,564,421.88
  5. Step 5: Solve for x
    x = 7,513,564,421.88/106,293.48
  6. Step 6: Final answer
    x = 70,686.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.